Question $2.[12$ points$]$ Datapath circuit.

Design a datapath circuit for the $\backslash$Lambda SM chart below. The n$-$bit data inputs are $\backslash$Lambda and B$.$

$($i$)(9$ points$)$ Draw your datapath circuit below. Assume the following components are readily

available: $(1)$ registers and shift registers; $(2)$ u$($p$)/($d$)$own counters; $(3)$ adders; $(4)$ multiplexers;

$(5)$ k$-$to$-2$k decoders; and $(6)$ bitwise $\backslash$Lambda N$($D$)/($O$)($R$)/($N$)$O$($R$)/($N$)\backslash$Lambda N$($D$)/($x$)$O$($R$)/($N$)$OT gates. If you need

other components, indicate them clearly. Label the width of wires on your circuit diagram.

$($ii$)(3$ points$)$ List all input signals for your datapath circuit.